Math - Others Questions

Parent function f x x is translated 2 units to the left and reflected across the x axis to result in function g A Write an equation for g B f is graphed below Graph g 2 0 2

12 0 34 x9 OA 3 06 OB 0 306 O C 30 6 OD 0 0306

10 Change the fraction 50 to a decimal O A 0 16 OB 0 085 OC 0 0016 OD 8 5

14 Find the value of 8 3 x 24 2 x 0 03 Round your answer to the nearest hundredth O A 60 26 OB 6 03 O C 79 86 O D 7 99

8 Which one of the following statements is true Compare 98 980 using O A 9 08 9 8 O B 98 980 O C 098 0098 O D 908 9008

Select the best answer for the question 9 A group of employees bought a get well gift for a coworker The gift cost 46 06 If there are 22 employees in the group how much does each employee need to contribute O A 2 09 O B 2 90 O C 1 37 O D 75

7 If a 10 pound sack of potatoes costs 6 55 how much would 1 pound cost Round your answer to the nearest cen O A 65 O B 66 O C 1 65 O D 6 55

4 A carpenter buys 54 38 worth of parts from a supplier If he pays for the parts with a 100 bill how much change will he receive O A 55 72 O B 45 62 O C 56 72 O D 55 62

1 Which one of the following decimals is the largest 345 33 332 35 O A 33 O B 345 O C 35 O D 332

10 Write a quadratic function with real coefficients that has a root of 3 i

4 Write the explicit definition for this sequence Inorn an 32 if n 1 1 ifn 1

A rectangular box has the dimensions shown in the diagram The volume of the box is given by the function 3 V x x 4x where x is the height of the box in inches If the volume of the box is 15 in what is its height x 2 in x in x 2 in

9 Write a quadratic function with rational coefficients that has roots 7 and 7

8 What is the monthly payment for a 20 000 loan for 4 years with an annual interest rate of 4 8

3 Let P x 2x x 2x x 4x 5 A Find the remainder when P x is divided by x 2 B Use this result and tha

3 1 Use long division to divide x 2 2x 14 by x 3

2 What is the remainder if f x x 5x 6x 10 is divided by x 33

6 On Gabriela s first birthday her parents gave her a 50 savings account On every birthday after that her parents added 25 more than they added the previous year A Write a recursive or explicit definition for the sequence that represents this situation B Calculate the total amount Gabriela s parents will have deposited into the account on her birthdays by her 18th birthday

2 Use synthetic division to divide x x 3 6x 4x 8 by x 2

1 For each sequence determine whether it is arithmetic geometric or neither If it is arithmetic or geometric write a recursive definition for the sequence A 2 4 8 16 32 B 1 7 5 1 15 3 45 9 137 7 C 8 6 4 2 0

1 Steve bought 2 plain pizzas and 14 of a pepperoni pizza In all how much pizza did he buy A 2 4 OB 114 O C 212 OD 2 ha

4 Compare 1 2 with 34 using O A None of the above O B 12 34 O C 1 34 OD 12 34

17 Which one of the following pairs of numbers contains like fractions O A and 60 70 O B 54 and 45 O C 12 and 32 O D and 12 16

Select the 2 On Monday 23 of the team practiced Tuesday Wednesday 12 and Thursday 34 On which day were the most team members present at practice O A Tuesday O B Wednesday O C Monday O D Thursday

19 Ralph spends 15 13 hours per month playing tennis How many hours does he play tennis in a year There are twelve months in a year O A 164 13 O B 18223 O C 164 O D 184

16 What s the difference between 126 and 78 23 O A 48 13 O B 585 12 O C 477 12 O D 57 12

20 11 7 22 O A 12 OB 4 O C 18 O D 9

10 What s the product of 3 23 and 14 OA 54 OB 52 45 O C 4245 O D 52 415

12 Which one of the following examples represents a proper fraction O A 15 22 O B O C 3 O D 12

18 Yolanda spends 823 hours per month playing soccer Approximately how many hours does she play soccer in a year There are twelve months in a year OA 416 OB 28 O C 197 O D 104

14 Which fraction has a value that s equal to O A 12 12 O B 12 16 O C 43 O D 16

6 What s the sum of 25 and 24 O A O B 20 O C 10 O D 10 20

13 What s the fraction 18 24 reduced to its lowest terms O A 24 18 O B 12 O C 34 O D 18 24

15 Divide 613 by 6 12 O A 12 O B 16 O C 13 12 O D 12 13

Name Ben Gilland 40 N 30 N SO N Portand CA 120 W X Latitude and Longitude Phoenix ut M 110 W WY 20 NM 1 33 N latitude 112 W longitude 2 35 N latitude 78 W longitude No Forgo 6 43 N latitude 79 W longitude 10 7 25 N latitude 80 W longitude NE Denver Lincoln OK TX AIN 100 W IA MO At Houston Wy A ALI MS IN KY IN pare ON Niagara Falls W 90 W ww NO PA NY VA 30 GA AL w Mb 3 46 N latitude 96 W longitude Ealiso Nd 4 45 N latitude 122 W longitude for tland OR 5 29 N latitude 95 W longitude Miami Atp RH dr Write the name of the city and state found at the given latitude and longitude coordinates Phoenix az Baldish TX Raleigh Raleigh St NI ALA Boston M MD 80 W 70 W

9 415 of the 315 members of a book club are male How many female members are there in the club OA 84 O B 174 O C 231 O D 131

11 78 2 48 O A 13 OB 42 O C 1 O D 6

8 Subtract 8 4 O A 3 2 OB 3 O C 412 OD 4

5 Select the proper order from least to greatest for 23 76 8 10 O A 18 10 76 4 O B 23 10 76 18 O C 1 23 10 76 O D 76 910 23 18

7 What s the product of 4 23 and 11 14 O A 83 O B 52 12 O C 56 135 O D 44 2 12

3 Subtract 5 31 O A 313 O B 21 O C 13 O D 23

What geologic feature in South Dakota was considered sacred to the Sioux people in the same way that Christians Jews and Muslims regard Jerusalem Israel Your answer is two words Answer one god Question 13 President Chester Arthur s Indian Policy of 1881 included which actions Select all that apply a Providing each Indian family with an allotment of land to farm on the reservation b Providing funding to expand the number of Indian schools c Applying U S state and federal laws to reservations d Mobilizing a pilitan unit to 0 10 points

What laws and programs were approved by the U S government to encourage people to move West and develop the land there Choose all that apply a Homestead Act free land giveaways b Timber Act c Open Door immigration you pay and you can come d Wars against tribal peoples

Assume now that for you have the same gemetry and that both cables have a 9 mm diameter and are made of the same material What should be the minimum value of the failure stress of the material for the cables such that the structure is safe for the given weight of 2000 kg 183 MPa 226 MPa 129 4 MPa 160 MPa Incorrect

Andover Bank and Lowell Bank each sell one year certificates of deposit CDs The interest rates on these CDs are given in the table below for a three year period 2024 Bank Andover Bank Lowell Bank 99 496 2022 196 496 2023 296 4 Suppose you deposit 2 000 in a CD in each bank at the beginning of 2022 At the end of 2022 you take your 2 000 and any interest eamed and invest it in a CD for the following year You do this again at the end of 2023 At the end of 2024 the interest over this three year period at Andover Bank is Enter your response rounded to the nearest penny

m t Let This Happen To You Use the data for the country of New Finlandia in the following table to calculate the following REAL GDP PER CAPITA 2005 PRICES YEAR 2010 2011 2012 2013 2014 41 761 42 896 42 359 43 462 43 203 ber from the previous chapter that the average annual growth rate for relatively short periods can be approximated by averaging the growth rates of age increase in real GDP per capita between 2010 and 2014 is 3 45 Enter your response rounded to two decimal places annual growth rate in real GDP per capita between 2010 and 2014 is Enter your response rounded to two decimal places

Real GDP per capita in the United States grew from about 6 000 in 1900 to about 55 786 in 2020 which represents an annual growth rate of 1 88 percent Real time data provided by Federal Reserve Economic Data FRED Federal Reserve Bank of Saint Louis If the United States continues to grow at this rate it will take 37 2 years for real GDP per capita to double Enter your response rounded to two decimal places If government economic policies meant to stimulate economic growth result in the annual growth rate increasing to 2 13 percent it will take years for real GDP per capita to double Enter your response rounded to two decimal places

The following table contains data from FRED on the U S population billions of persons and real GDP for April of 2023 and 2018 U S Month Yr Population billions of persons 0 327667595 0 336047315 April 2018 April 2023 Real GDP billions of Month Yr April 2018 chained dollars 18 565 7 20 404 1 Nominal GDP billions of dollars 20 470 2 26 835 0 Real time data provided by Federal Reserve Economic Data FRED Federal Reserve Bank of Saint Louis GDP per capita A relatively simple method of gauging the change in living standards over time within a country is to compute real Complete the following table by computing for each period the per capita real GDP Enter your responses rounded to the nearest dollar Real GDP Per Capita chained dollars

Prot 10 points CC Consider the following matrix A and it s inverse A 0 1 0 A 2 0 0 0 1 1 Let the entry wise 6 norm of a mx n matrix B or vector be defined as 1 6 A 0 1 m EE B 6 6 b 16 0 5 0 0 0 0 1 1 Note this norm is similar to the Euclidean norm just replacing the 2 with a 6 in the power and the root Provide your answers with at least 6 digits a By hand calculate A 6 6 b By hand calculate the condition number of A using the entry wise 6 norm

a Construct a sequence of length 16 consisting of the numbers 1 2 16 each occurring once that has no increasing subsequence of length five and also no decreasing subsequence of length five Prove that every sequence of length 17 consisting of the numbers 1 2 17 each occurring once has either an increasing subsequence of length five or a decreasing subsequence of length five